Given the following rational function

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Given the following rational function, find
a) the horizontal asymptote(s),
b) the vertical asymptote(s), if any, and
c) the oblique asymptote(s), if any.

F(x) = x^2-x-2/2x^2-x-2

  • Given the following rational function -

    a long division shows that

    F(x) = 1/2 - (x+2)/(2(2x^2-x-2))

    so, as x gets large, F(x) -> 1/2

    vertical asymptotes where 2x^2-x-2=0

    no oblique asymptotes.

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